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The concept of quasi-integrability and vortices for effective theories of Yang-Mills

Grant number: 10/00802-1
Support type:Research Grants - Visiting Researcher Grant - International
Duration: August 07, 2010 - September 19, 2010
Field of knowledge:Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
Principal Investigator:Luiz Agostinho Ferreira
Grantee:Luiz Agostinho Ferreira
Visiting researcher: Wojtek Zakrzewski
Visiting researcher institution: Durham University (DU), England
Home Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Associated research grant:04/03444-8 - Integrable models, solitons and duality, AP.TEM

Abstract

The visit of Prof. Zakrzewski to IFSC/USP has two main objectives. First we intend to develop techniques to study the so-called phenomenon of quasi-integrability. Many non-integrable theories present solutions that behave like solitons in integrable theories. The reason for that behavior is the existence of quasi-conserved quantities. Such phenomenon may have applications in many areas of Physics and Mathematics. In addition, we also intend to construct vortices solutions for the extended Skyrme-Faddeev model which is believed to describe some aspects of the strong coupling regime of the SU(2) Yang-Mills theory without matter. (AU)